CN109327895B - NOMA and CR network-based power distribution method - Google Patents

NOMA and CR network-based power distribution method Download PDF

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CN109327895B
CN109327895B CN201811310912.3A CN201811310912A CN109327895B CN 109327895 B CN109327895 B CN 109327895B CN 201811310912 A CN201811310912 A CN 201811310912A CN 109327895 B CN109327895 B CN 109327895B
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CN109327895A (en
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杨震
时安谊
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Nanjing University of Posts and Telecommunications
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    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04W—WIRELESS COMMUNICATION NETWORKS
    • H04W52/00—Power management, e.g. TPC [Transmission Power Control], power saving or power classes
    • H04W52/04—TPC
    • H04W52/18—TPC being performed according to specific parameters
    • H04W52/24—TPC being performed according to specific parameters using SIR [Signal to Interference Ratio] or other wireless path parameters
    • H04W52/243—TPC being performed according to specific parameters using SIR [Signal to Interference Ratio] or other wireless path parameters taking into account interferences
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04W—WIRELESS COMMUNICATION NETWORKS
    • H04W52/00—Power management, e.g. TPC [Transmission Power Control], power saving or power classes
    • H04W52/04—TPC
    • H04W52/18—TPC being performed according to specific parameters
    • H04W52/24—TPC being performed according to specific parameters using SIR [Signal to Interference Ratio] or other wireless path parameters
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04W—WIRELESS COMMUNICATION NETWORKS
    • H04W52/00—Power management, e.g. TPC [Transmission Power Control], power saving or power classes
    • H04W52/04—TPC
    • H04W52/18—TPC being performed according to specific parameters
    • H04W52/24—TPC being performed according to specific parameters using SIR [Signal to Interference Ratio] or other wireless path parameters
    • H04W52/241—TPC being performed according to specific parameters using SIR [Signal to Interference Ratio] or other wireless path parameters taking into account channel quality metrics, e.g. SIR, SNR, CIR, Eb/lo
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04W—WIRELESS COMMUNICATION NETWORKS
    • H04W52/00—Power management, e.g. TPC [Transmission Power Control], power saving or power classes
    • H04W52/04—TPC
    • H04W52/30—TPC using constraints in the total amount of available transmission power

Abstract

The invention discloses a power distribution method based on NOMA and CR networks, which ensures that the interference of a slave user to a master user does not exceed the maximum interference threshold which can be borne by the master user by limiting the total power distributed to all slave users, thereby ensuring the conversation quality of the master user. The invention refines the interference of different master users to the slave users, and performs power distribution under the condition of fully considering the power, channel gain, signal-to-interference-and-noise ratio of the master users and the channels of the slave users. Compared with the prior art, the invention can obtain better performance under the condition of little complexity improvement, can access more slave users and improves the spectrum efficiency.

Description

NOMA and CR network-based power distribution method
Technical Field
The invention relates to a power distribution method, in particular to a method for combining cognitive radio CR and non-orthogonal multiple access NOMA to refine the mutual interference part between a master user and a slave user and carrying out power distribution in a hybrid system.
Background
The cognitive wireless network is supposed to allow authorized users and unauthorized users to share a channel, and provide more bandwidth for the unauthorized users through a heterogeneous wireless framework and a dynamic spectrum access technology. In addition, the objective can also be achieved by using a more spectrum efficient distributed Access method, for example, a Non-Orthogonal Multiple Access (NOMA) method. NOMA combined with Successive Interference Cancellation (SIC) techniques has been theorized to further improve spectrum utilization and achieve significant gains in system capacity and throughput. Different from the prior orthogonal multiple access mode, the NOMA realizes overload of system users by introducing controllable interference at the cost of improving the complexity of a receiver, thereby improving the efficiency of the system.
Through the literature search of the prior art, in such a hybrid system combining CR and NOMA, the interference between the master user and the slave user is mutual, and the interference generated by the master user to different slave users should be different, but no article or invention carefully considers the influence of the interference item. In the Power Allocation for Cognitive Radio Networks Employing Non-orthogonal Multiple Access, a system is accessed between slave users in the CR in an NOMA mode, and the total Power allocated to the slave users is limited to ensure that the interference caused by the slave users to the master users does not exceed the range that the master users can bear. For example, when the call quality of the slave user is improved, the quality of the master user should be higher.
Disclosure of Invention
Aiming at the defects in the prior art, the invention refines the interference of different master users to slave users in a hybrid system combining a CR network and NOMA, performs power distribution on each slave user in a NOMA mode under the condition of fully considering the power, channel gain, signal-to-interference-and-noise ratio of each master user and the channel of each slave user, ensures that the slave users do not influence the normal communication of the master users, and maximizes the number of the slave users accessing the system.
The invention is realized by the following technical scheme:
the CR system considered by the invention adopts an Underlay mode, a slave user communicates in a cell through a slave base station, and a plurality of pairs of master transceivers are randomly distributed in the cell to study the condition of downlink communication. It is assumed that there is a maximum tolerable interference threshold for each primary user (i.e., primary receiver), and the Quality of Service (QoS) requirements of the primary and secondary users are determined by their signal-to-interference-and-noise ratios (SINRs), respectively. The method comprises the steps of firstly determining the total power which can be controlled by all slave users according to the SINR of each master user, then carrying out power distribution on each slave user, carrying out partial elimination on interference among the slave users through the SIC, wherein the interference generated by the master users is different for each slave user, and the system refuses the access of the slave users which cannot meet the SINR requirement.
The invention comprises the following steps:
the method comprises the following steps: calculating the power of each primary user: firstly, according to the channel condition of the master user, calculating the power required by each master user under the SINR required by normal communication, and completing power distribution to the master users.
The power requirement of each primary user is satisfied:
Figure BDA0001854961550000021
wherein
Figure BDA0001854961550000022
Indicating the channel gain from the ith primary transmitter to the ith primary user,
Figure BDA0001854961550000023
indicating the transmit power of the ith host transmitter,
Figure BDA0001854961550000024
indicating the SINR threshold that the i-th primary user must meet for normal communication,
Figure BDA0001854961550000025
indicating interference caused by the remaining primary transmitters to the i-th primary user,
Figure BDA0001854961550000026
indicating interference caused by all slave users to the i-th master user, N0It represents background white noise.
Step two: calculating the total power P allocable from the userS: according to the order of base station to each primary userThe channel gain of the master user is considered, the maximum interference threshold of the master user is considered, the total power of the slave users is limited, and the influence on normal communication of the master user is avoided while the power of the slave users is distributed.
For the secondary user, the interference to the primary user cannot exceed the threshold that the primary user can bear, which includes:
Figure BDA0001854961550000027
wherein
Figure BDA0001854961550000028
Indicating the threshold that the primary user can tolerate,
Figure BDA0001854961550000029
indicating the channel gain from the base station to the i-th primary user, if ordered
Figure BDA0001854961550000031
The binding can then rewrite the above equation to:
Figure BDA0001854961550000032
wherein
Figure BDA0001854961550000033
Refers to the maximum power that can be transmitted from the base station, is a constraint on the total power of the slave base station, PSThe method ensures that the slave user can not influence the normal communication of the master user.
Step three: according to PSAnd power distribution is carried out on the slave users: the slave users access the system in a NOMA way, and mutual interference among the slave users can be partially cancelled through the SIC, so that the system can access more slave users.
After the SIC technique is adopted, the power of each slave user is solved as follows:
Figure BDA0001854961550000034
wherein
Figure BDA0001854961550000035
Representing the power transmitted from the base station to the jth slave user,
Figure BDA0001854961550000036
represents the power transmitted from the base station to the ith slave user,
Figure BDA0001854961550000037
indicating the interference caused by all master transmitters to the jth slave user,
Figure BDA0001854961550000038
indicating the SINR threshold that the jth slave user must meet for normal communication,
Figure BDA0001854961550000039
representing the channel gain from the base station to the jth slave user. Considering that each slave user communicates with the power required by the SINR threshold, the above equation becomes:
Figure BDA00018549615500000310
it can be seen that the power of each slave user can be solved by sequential iterations, i.e.
Figure BDA00018549615500000311
Can be solved directly according to
Figure BDA00018549615500000312
Can find out
Figure BDA00018549615500000313
According to
Figure BDA00018549615500000314
And
Figure BDA00018549615500000315
and can obtain
Figure BDA00018549615500000316
And so on.
For the above sequential iterations, the termination conditions are:
Figure BDA00018549615500000317
i.e. the power required by the jth slave user is larger than the power which can be allocated continuously and is left by the total power of the slave users, at this time, enough power is not available to support the access of the jth slave user and the following slave users to the system, and the iteration is terminated.
Compared with the prior art, the invention has the following beneficial effects:
the invention combines the cognitive radio network and the NOMA, and provides a power distribution method for the hybrid network, so that the number of the slave users which can be accessed in the network reaches the maximum.
In order to show the superiority of the method, the method is compared with a more classical FTPC, and a simulation result shows that the performance of the method of the embodiment is superior to that of the FTPC, and particularly under the condition of a small number of primary users N, O (N.M) and O (M) of the two methods are not greatly different, but the method can access more secondary users under the same condition. As can be seen from fig. 3 to fig. 6, under any circumstances, the present invention can access more slave users than FTPC, and especially under the circumstances that the number of master users is small or the SINR requirement of slave users is low, the number of slave users that can be accessed by the two methods differs by one time, because FTPC only performs power allocation according to the channel condition of each slave user, under the circumstance that normal communication can be performed while meeting the minimum SINR requirement, there is a situation that power is wasted due to more power allocated to users, and the allocable power cannot be reasonably utilized to the maximum.
Drawings
FIG. 1 is a system model diagram.
FIG. 2 shows FTPC with αftpcThe variation relationship of (a).
Figure 3 is a graph of the variation of the two methods from the number of users requesting access.
Fig. 4 shows the SINR variation of two methods with the user.
FIG. 5 is a graph of the variation of the two methods with the number of primary users.
FIG. 6 is the variation of the method of the present invention with the number of primary users.
Detailed Description
The present invention will be described in further detail with reference to the accompanying drawings and examples.
The following examples are given for the detailed implementation and specific operation of the present invention, but the scope of the present invention is not limited to the following examples.
The embodiment is realized by the following steps:
the method comprises the following steps: calculating the power of each primary user: firstly, according to the channel condition of the master user, calculating the power required by each master user under the SINR required by normal communication, and completing power distribution to the master users.
As shown in fig. 1, the present embodiment assumes that there is a slave user cell, there is a slave base station in the center of the cell, there are several slave users and several pairs of master transceivers randomly distributed in the cell, and hereinafter, the master user corresponds to the master receiver, considering the downlink communication situation. Since the links of these users interfere with each other, the interference caused by the slave users to the master users and the QoS requirements of the master and slave users must be considered. It is assumed that each primary user has a maximum tolerable interference threshold, and the QoS requirements of the primary and secondary users are determined by their signal to interference plus noise ratio SINR, respectively. The cognitive radio system adopts an Underlay mode, namely a master user and a slave user can simultaneously share the same frequency band for data transmission, and in addition, the slave users access the system in a NOMA mode.
The transmission parameters of the system are respectively as follows, the number of the master users is N, the number of the slave users is M, and the channel gains from the ith master transmitter to the ith master user and from the ith slave user are respectively
Figure BDA0001854961550000051
And
Figure BDA0001854961550000052
the channel gain depends mainly on the distance between the user and the transmitter. Similarly, for the slave base station, the channel gains from the base station to the ith slave user and to the jth master user are respectively
Figure BDA0001854961550000053
And
Figure BDA0001854961550000054
it is assumed that all channel gains are known to the base station or transmitter. For the primary user i, the signal-to-interference-and-noise ratio gammaiCan be expressed as follows:
Figure BDA0001854961550000055
wherein
Figure BDA0001854961550000056
Indicating the transmit power of the ith host transmitter,
Figure BDA0001854961550000057
indicating interference caused by the remaining primary transmitters to the i-th primary user,
Figure BDA0001854961550000058
indicating interference caused by all slave users to the i-th master user, N0It represents background white noise. To ensure the conversation of the master userThe quality is not affected, and the following constraint conditions are adopted:
Figure BDA0001854961550000059
wherein
Figure BDA00018549615500000510
Indicating the SINR threshold that the i-th primary user must meet for normal communications.
In the CR network, to ensure normal communication of primary users, first, (1) is carried into (2), and the primary users are considered to communicate with the power required by the SINR threshold, and the power of each primary user can be obtained:
Figure BDA00018549615500000511
step two: calculating the total power P allocable from the userS: according to the channel gain from the base station to each master user, the maximum interference threshold of the master user is considered, the total power of the slave users is limited, and the normal communication of the master users is not influenced while the power of the slave users is distributed.
For the slave users, it can be considered that the channel gains of the slave users exhibit a gradually decreasing characteristic (if not satisfied, only the sequence numbers of the corresponding slave users need to be exchanged), that is:
Figure BDA0001854961550000061
since the slave users share the same frequency band by using a NOMA access method, the SINR of the ith slave user can be expressed as follows:
Figure BDA0001854961550000062
wherein
Figure BDA0001854961550000063
Represents the transmission power of the slave base station for the ith slave user,
Figure BDA0001854961550000064
represents the interference caused by all the main transmitters to the ith slave user, namely:
Figure BDA0001854961550000065
as mentioned above, the SIC technique is used at the receiving end of the slave users, so that for the slave users with better channel conditions, the signals of the users with poorer channel conditions can be detected first, and the signals of the users are subtracted from the received mixed signal, thereby achieving the effect of interference cancellation. Therefore, when calculating SINR from users, signals for those users with poor channel conditions can be removed, and combining (4) and substituting (6) into (5), we can get:
Figure BDA0001854961550000066
similarly, in order to ensure QoS of the slave users and enable normal communication, there are:
Figure BDA0001854961550000067
wherein
Figure BDA0001854961550000068
Indicating the SINR threshold that the ith slave user must satisfy for normal communication.
On the other hand, if for the ith primary user, the maximum interference threshold caused by the secondary user is the maximum interference threshold that the ith primary user can bear
Figure BDA0001854961550000069
Then the corresponding interference constraint mayExpressed as:
Figure BDA0001854961550000071
wherein the summation term is independent of i, order
Figure BDA0001854961550000072
Then (9) can be further written as:
Figure BDA0001854961550000073
wherein P isSThe total power of all slave users is represented. The appropriate modification of (10) can result in:
Figure BDA0001854961550000074
if order
Figure BDA0001854961550000075
The above equation can be rewritten as:
Figure BDA0001854961550000076
wherein
Figure BDA0001854961550000077
Refers to the maximum power that can be transmitted from the base station and is a constraint on the total power from the base station.
Thus obtaining the total power P of the slave usersS，PSThe method ensures that the slave user can not influence the normal communication of the master user.
Step three: according to PSAnd power distribution is carried out on the slave users: the slave users access the system in a NOMA way, and mutual interference among the slave users can be partially cancelled through the SIC, so that the system can access more slave users.
From (12) the total power that can be handled by the slave users can be determined, in which case the power allocation problem translates into how to pair P between the slave usersSAnd performing reasonable distribution.
The normal communication from the user also needs to be guaranteed, and the substitution (7) into (8) comprises the following steps:
Figure BDA0001854961550000078
according to (13) and the channel gain gradually reduced from the user, the sequential iteration can be carried out on the slave users so as to achieve the purpose of distributing power, and for the jth slave user, the power is distributed
Figure BDA0001854961550000079
Is determined by the power of the first j-1 slave users whose channel gain is better than him. Therefore, although the channel gain of the slave users is gradually decreased, the power allocated to each slave user is gradually increased as long as the sum of the power of the master user
Figure BDA0001854961550000081
It is known that the power required by the jth slave user can be found. The specific solution is as follows, considering that each slave user communicates with the SINR threshold, the power of the first slave user (i.e. the slave user with the best channel) is:
Figure BDA0001854961550000082
with power of the first slave user, according to (13) and
Figure BDA0001854961550000083
the second slave user power can be found as:
Figure BDA0001854961550000084
by analogy, the expression of the jth slave user's power can be iteratively obtained as follows:
Figure BDA0001854961550000085
according to (16), the power required by each slave user for normal communication can be gradually obtained, but the previous (12) total power constraint P for the slave users is not considered in the iterative processSSo that power is allocated to each slave user
Figure BDA0001854961550000086
It is necessary to calculate once for the slave users to which power has been allocated so far
Figure BDA0001854961550000087
To ensure that
Figure BDA0001854961550000088
The iteration end condition that can thus be found (16) is:
Figure BDA0001854961550000089
that is, it means that the power required by the jth slave user is greater than the power left by the total power of the slave users and can be allocated continuously, there is not enough power to support the jth slave user to access the system, and since the channel gain is worse and worse, the power required by the following jth +1 to mth slave users is only higher and higher, so that the power of these slave users { j, j + 1.., M } can only be considered as 0, thereby ensuring that the normal communication of the master user is not affected, and the number of slave users that the system can access is j-1 at this time.
Step four: and (4) performing simulation comparison with an FTPC method.
To highlight the superiority of the present invention, the present embodiment compares the FTPC power allocation method with the following specific methods:
Figure BDA0001854961550000091
wherein alpha isftpcIs an attenuation coefficient in the range of 0. ltoreq. alphaftpcIs less than or equal to 1, when alpha isftpcWhen it is 0, it is obvious from (18) that the power of each slave user is equal, and the FTPC is equal power distribution. With alphaftpcAnd the value of (c) is increasing, more power is allocated to users with poorer channel conditions, which is consistent with the idea of NOMA.
The FTPC performs power allocation according to the channel gain condition of each slave user, so each slave user can allocate power, but it cannot be ensured that each slave user can satisfy the QoS requirement, so after power allocation is completed, the slave users that do not satisfy the SINR requirement need to be removed, the complexity of the FTPC is o (M), and the complexity of the method of the present invention is o (N · M) because the interference generated by the master user is considered when calculating the power of each slave user.
In this embodiment, it is assumed that in a NOMA-based CR network, the coverage area of a slave base station is 500m, the slave base station is located in the center of a cell, slave users and master transceivers are randomly distributed in the slave cell, the communication situation of a downlink is considered, mutual interference between master users is not considered, and if the interference caused by the slave users to the master users is under the maximum interference threshold that the master users can bear, the slave users will not affect the normal communication of the master users. The channel gains of the master and slave users are respectively expressed as
Figure BDA0001854961550000092
Wherein
Figure BDA0001854961550000093
And
Figure BDA0001854961550000094
respectively representing the distance from the jth master transmitter to the ith master user and the distance from the slave base station to the ith slave user,
Figure BDA0001854961550000095
and
Figure BDA0001854961550000096
is a Gaussian random variable with a mean value of zero and a standard deviation of 4, K0＝103Indicating various factors of system transmission. Power N of white noise0The maximum interference threshold that the primary user can bear is-170 dBm
Figure BDA0001854961550000097
Maximum transmission power from base station
Figure BDA0001854961550000098
The SINR threshold of the primary user is 5dB higher than that of the secondary user, and in order to reduce the simulation error, the operation is carried out 10 after the parameter setting4And then taking the average value as the final simulation result.
1) In the FTPC method, under the condition that the number of the slave users requesting access and the SINR of the slave users are changed, the access is changed along with alphaftpcHow many slave users the system can access
FIG. 2 considers the case of three primary users, and it can be seen that with αftpcThe number of slave users that can access the system is increasing. Because of alphaftpcThe smaller the value, the more even the power allocation, and in this case the QoS requirements cannot be met for those users with poor channel conditions, whereas α isftpcThe larger the value is, the more uneven the power distribution is, the less power is distributed to users with good channels, the more power is distributed to users with poor channels, and the number of users capable of meeting the SINR requirement naturally increases. As can also be seen from fig. 2, when 5 slave users are requested to be accessed, the SINR required by the slave users increases, and the number of accessible slave users is reduced by almost half. In any case, the number of slave users that can access the system is not large, and in the same case that the minimum SINR requirement is 5dB, the number of slave users that request access is increased from 5 to 10, but the number of slave users that can really access the system is increased by only 1, and it can be seen that the maximum access is performedThe performance of the FTPC is not excellent in the problem of the number of system users.
2) The performance of the power distribution method and the FTPC method provided by the invention is compared with the performance of the FTPC method under the condition that the power distribution method and the FTPC method are changed along with various parameters
FIG. 3 considers the variation of the two methods with the number of slave users requesting access, let αftpcThe number of the slave users requesting access is gradually increased from 1 to 10, and the conditions that the number of the master users is 3 and 5 are respectively considered, so that the method is still superior to FTPC (fiber to the Home) under the condition that the number of the users requesting access is less, even if the performance of the two methods is not greatly different, the difference of the two methods becomes more and more obvious as the number of the users requesting access is more and more, and the method has remarkable superiority, and the number of the slave users can be accessed nearly doubled compared with the FTPC (fiber to the Home) no matter whether the number of the master users is 3 or 5. The reason is that the FTPC allocates power only according to the channel condition of each slave user, and under the condition that normal communication is possible while the minimum SINR requirement is met, there is a case that power is allocated more for the users, which causes power waste, and the allocable power cannot be reasonably utilized to the maximum.
Fig. 4 compares the two methods with the change of the slave user SINR, and it can be seen that the higher the slave user SINR requirement is, the performance of both methods will decrease, because the higher the QoS requirement of each slave user is, the more power is allocated to each slave user, and the simulation of this embodiment requires that the SINR of the master user is 5dB higher than that of the slave user, and the high SINR of the master user will also cause more interference to the slave user, so the number of accessible slave users will decrease sharply with the increase of SINR, however, the present invention can still access nearly one time more slave users than FTPC.
Fig. 5 compares the situation that the number of users requesting access is 10, and the two methods vary with the number of master users, and consider that the SINR requirements of the slave users are 5dB and 10dB, respectively, it can be seen that, when the number of master users is small, the number of slave users that can access the system will decrease rapidly when adding one master user, because the number of master users is large, the interference to the slave users is large, the power required by each slave user for normal communication will increase, the number of slave users meeting the requirements will naturally decrease, and under the condition that the remaining conditions are not changed, the SINR of the slave users is increased by one time, and the number that can be accessed will also decrease greatly. With the increasing number of the master users, the descending trend of the number of the slave users tends to be gentle, because the slave users which can access the system per se are few, the situation of the cognitive radio is that under the condition that the demand of the master users is not large, the slave users share the frequency spectrum, and when the master users are in active communication, the slave users naturally need to retreat to ensure the normal communication of the master users. Fig. 5 shows that the performance of the present invention is still better than that of FTPC, and since the number of FTPCs is not large, the downward trend is more gradual than that of the present invention. When the number N of primary users is small, the performance of the method is greatly superior to that of FTPC, and in terms of complexity, the difference between O (N.M) and O (M) is not large because of small N, and the performance difference of the two methods is smaller and smaller as N is higher and higher, so that the FTPC with low complexity can be selected for distribution.
Fig. 6 considers the variation of the present invention with the number of primary users, the SINR of the secondary users is 5,10,15 and 20dB respectively, and the number of the secondary users requesting access is still 10. It can be seen that, each time the QoS requirement of the master user and the slave user is increased by one time, the number of users that can be accessed into the system is reduced by half, and when the communication requirements of the master user and the slave user are both high, the access rate of the slave user is very low, because under the constraint of power interference, to meet the high SINR communication requirement, more power needs to be allocated naturally, and the number of slave users is reduced accordingly.
The foregoing is only a preferred embodiment of the present invention, and it should be noted that, for those skilled in the art, various modifications and decorations can be made without departing from the principle of the present invention, and these modifications and decorations should also be regarded as the protection scope of the present invention.

Claims (3)

1. The power distribution method based on NOMA and CR network, characterized by that, the application scene of the method includes a slave base station, several slave users and several pairs of master transceivers, wherein the master receiver corresponds to the master user, the CR network adopts the Underlay mode, the slave user inserts the system by way of NOMA; the method comprises the following steps:
step 1: calculating the power of each master user;
step 2: calculating the total power P allocable from the userS；
And step 3: according to PSAllocating power to the slave users;
in step 1, the power of each master user needs to satisfy:
Figure FDA0003023458520000011
wherein
Figure FDA0003023458520000012
Indicating the channel gain, P, from the i-th primary transmitter to the i-th primary useri (p)Indicating the transmit power of the ith host transmitter,
Figure FDA0003023458520000013
indicating the SINR threshold that the i-th primary user must meet for normal communication,
Figure FDA0003023458520000014
indicating interference caused by the remaining primary transmitters to the i-th primary user,
Figure FDA0003023458520000015
indicating interference caused by all slave users to the i-th master user, N0Then background white noise is indicated;
in step 2, the interference of the slave user to the master user cannot exceed the threshold which can be borne by the master user, and the following steps are included:
Figure FDA0003023458520000016
wherein
Figure FDA0003023458520000017
Indicating the threshold that the primary user can tolerate,
Figure FDA0003023458520000018
indicating the channel gain from the base station to the i-th primary user, order
Figure FDA0003023458520000019
Then equation (2) can be rewritten as:
Figure FDA00030234585200000110
wherein
Figure FDA00030234585200000111
Refers to the maximum power that can be transmitted from the base station, and is a constraint of the total power of the base station;
in step 3, the signal-to-interference-and-noise ratio of each slave user needs to satisfy:
Figure FDA00030234585200000112
wherein
Figure FDA00030234585200000113
Representing the power, P, transmitted from the base station to the jth slave useri (s)Represents the power transmitted from the base station to the ith slave user,
Figure FDA0003023458520000021
indicating the interference caused by all master transmitters to the jth slave user,
Figure FDA0003023458520000022
indicating the SINR threshold that the jth slave user must meet for normal communication,
Figure FDA0003023458520000023
representing the channel gain from the base station to the jth slave user.
2. The power allocation method based on NOMA and CR network according to claim 1, characterized in that each slave user communicates with the power required by SINR threshold, then its power needs to satisfy:
Figure FDA0003023458520000024
3. the NOMA-based power allocation method according to claim 2, wherein the termination condition of the iterative computation of equation (5) is:
Figure FDA0003023458520000025
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